Graphing Log Functions on TI-84

This video tutorial demonstrates how to graph a logarithmic function using the TI-84 calculator. It covers the change of base formula, finding the domain, range, and vertical asymptote, and verifying the graph. The tutorial also explains how to use the table of values to find convenient points for plotting and sketching the graph. The video concludes with a summary of the key points covered.

What is the purpose of using the change of base formula when graphing a log function on the TI-84 calculator?

• To eliminate the need for a calculator.

• To simplify the log function to a linear function.

• To change the log function to an exponential function.

• To convert the log function to a different base for easier calculation.

What is the domain of the log function given in the video?

• x is less than -1

• x is greater than 1

• x is greater than -1

• x is less than 0

What is the equation of the vertical asymptote for the log function discussed?

• x = -1

• x = 1

• x = 0

• x = 2

What is the range of the log function in the video?

• All real numbers

• Positive real numbers

• Numbers between -1 and 1

• Negative real numbers

Which button sequence is used to enter the log function into the TI-84 calculator?

• Y=, 2, LOG, 3, (, X+1, ), -, 3

• Y=, LOG, (, X+1, ), /, 2, LOG, 3, -, 3

• Y=, 2, LOG, (, X+1, ), /, LOG, 3, -, 3

• Y=, LOG, 2, (, X+1, ), /, LOG, 3, -, 3

What is the purpose of using the table of values when graphing the function?

• To find the maximum and minimum points of the function.

• To determine the slope of the function.

• To identify convenient points for plotting the graph.

• To calculate the derivative of the function.

What is the first convenient point identified for graphing the function?

• (2, -1)

• (0, -3)

• (6, 0.54)

• (8, 1)

What is the approximate y-value of the function when x is 6?

• -0.54

• 1.54

• 2.54

• 0.54

What is the significance of the vertical asymptote in the graph?

• It represents the y-intercept of the function.

• It indicates where the function has a maximum value.

• It shows where the function is undefined.

• It marks the x-intercept of the function.

How does the graph behave as it approaches the vertical asymptote?

• It flattens out.

• It approaches zero.

• It oscillates.

• It approaches infinity.